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Title: On the existence of point spectrum for branching strips quantum graph

The quantum graph having the form of branching strips with hexagonal (honeycomb) structure is considered. The Hamiltonian is determined as free 1D Schrödinger operator on each edge and some “boundary” conditions at each vertex. We obtain the conditions ensuring the point spectrum's existence for the Schrödinger operator of the system and relations that give us the eigenvalues.
Authors:
; ;  [1]
  1. Department of Higher Mathematics, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics, Kronverkskiy, 49, 197101 St. Petersburg (Russian Federation)
Publication Date:
OSTI Identifier:
22250894
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIAGRAMS; EIGENVALUES; GRAPH THEORY; HAMILTONIANS; HONEYCOMB STRUCTURES; SPECTRA